I have a National Luna 60 dual zone fridge now. Before that I had a Snomaster EX75 in the truck. The Snomaster was just too big, so I switched it out for the NL. All of the fridges I have looked at so far have the same voltage cutoff setting that yours has.Which Fridge/freezer do you have? I just got a Dometic CFX3 75 liter dual zone. It draws about 40 W with the compressor running and 0-1W otherwise. What I really like is you can dial in your battery protection voltage where the unit will shut off to 10.1/11.2/11.8V. That means it will totally flatten the 2nd AGM battery before shutting off if I choose to let it.
One thing that's high on our list for things to take camping is a volt meter.